Point Slope Form Practice 3

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert a linear equation from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form, identify a point (x1, y1) on the line and use the slope m in the formula y - y1 = m(x - x1).

Front

What does the slope (m) represent in the Point-Slope Form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given the point (3, 2) and slope -4, write the equation in Point-Slope Form.

Back

y - 2 = -4(x - 3).

Front

What is the significance of the point (x1, y1) in the Point-Slope Form?

Back

The point (x1, y1) is a specific point on the line, which is used to anchor the equation in the Point-Slope Form.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

Write the Point-Slope Form of the line that passes through (5, -2) with a slope of 1/2.

Back

y + 2 = 1/2(x - 5).

Front

What is the relationship between Point-Slope Form and Slope-Intercept Form?

Back

Point-Slope Form can be converted to Slope-Intercept Form (y = mx + b) by solving for y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the equation of a line is y - 3 = 2(x + 1), what is the slope of the line?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5